• search hit 5 of 8
Back to Result List

Solving Time-Dependent Optimal Control Problems in Comsol Multiphyiscs ba Space-Time Discretizations

Please always quote using this URN:urn:nbn:de:0296-matheon-5960
  • We use COMSOL Multiphysics to solve time-dependent optimal control problems for par- tial differential equations whose optimality conditions can be formulated as a PDE. For a class of linear-quadratic model problems we summarize known analytic results on existence of solutions and first order optimality conditions that exhibit the typical feature of time-dependent control problems, namely the fact that a part of the optimality system has to be integrated backward in time. We present a strategy that is based on the treatment of the coupled optimality system in the space-time cylinder. A brief motivation of this approach is given by showing that the optimality system is elliptic in some sence. Numerical examples show advantages and limits of the usage of COMSOL Multiphysics and of our approach.

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Ira Neitzel, Uwe Prüfert, Thomas Slawig
URN:urn:nbn:de:0296-matheon-5960
Referee:Fredi Tröltzsch
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2009/07/22
Release Date:2009/07/20
Tag:
Institute:Technische Universität Berlin
Zuse Institute Berlin (ZIB)
Preprint Number:631
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.